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A Natural Hermitian Line Bundle on the Moduli Space of Semistable Representations of a Quiver

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  • Pradeep Das

    (Harish-Chandra Research Institute, HBNI)

Abstract

This paper describes the construction of a natural Hermitian holomorphic line bundle on the stratified moduli space of complex representations of a finite quiver, which are semistable with respect to a fixed rational weight and have a fixed type. It is shown that the curvature of this Hermitian line bundle on each stratum of the moduli space is essentially the Kahler form of that stratum.

Suggested Citation

  • Pradeep Das, 2020. "A Natural Hermitian Line Bundle on the Moduli Space of Semistable Representations of a Quiver," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 1003-1021, September.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:3:d:10.1007_s13226-020-0446-0
    DOI: 10.1007/s13226-020-0446-0
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    References listed on IDEAS

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    1. Pradeep Das & S. Manikandan & N. Raghavendra, 2019. "Holomorphic aspects of moduli of representations of quivers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(2), pages 549-595, June.
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